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Finding the Fourth Proportional to 1,423.95, 2,136.19 and 693.33

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Solution

The fourth proportional to 1,423.95, 2,136.19 and 693.33 is: 1,040.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.95 : 2,136.19 = 693.33 : x
  2. Step 2: Convert to fraction form
    1,423.95/2,136.19 = 693.33/x
  3. Step 3: Cross multiply
    1,423.95x = 2,136.19 × 693.33
  4. Step 4: Simplify right side
    1,423.95x = 1,481,084.61
  5. Step 5: Solve for x
    x = 1,481,084.61/1,423.95
  6. Step 6: Final answer
    x = 1,040.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.